hide
Free keywords:
High Energy Physics - Theory, hep-th
Abstract:
In the paper, based on recent studies on $T\bar{T}$ deformation of 2D field
theory with supersymmetry, we investigate the deformed correlation functions in
$\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ 2D superconformal field theories.
Up to the leading order in perturbation theory, we compute the correlation
functions under $T\bar{T}$ deformation. The correlation functions in these
undeformed theories are almost known, and together with the help of
superconformal Ward identity in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$
theories respectively we can obtain the correlation functions with operator
$T\bar{T}$ inserted. Finally, by employing dimensional regularization, we can
work out the integrals in the first order perturbation. The study in this paper
extends previous works on the correlation functions of $T\bar{T}$ deformed
bosonic CFT to the supersymmetric case.
